"self-commutator" meaning in All languages combined

See self-commutator on Wiktionary

Noun [English]

Forms: self-commutators [plural]
Etymology: From self- + commutator. Etymology templates: {{prefix|en|self|commutator}} self- + commutator Head templates: {{en-noun}} self-commutator (plural self-commutators)
  1. (mathematics) Given a bounded linear operator B and its adjoint B*, the self-commutator is B*B - BB*. Categories (topical): Mathematics

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "self",
        "3": "commutator"
      },
      "expansion": "self- + commutator",
      "name": "prefix"
    }
  ],
  "etymology_text": "From self- + commutator.",
  "forms": [
    {
      "form": "self-commutators",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "self-commutator (plural self-commutators)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with self-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Given a bounded linear operator B and its adjoint B*, the self-commutator is B*B - BB*."
      ],
      "id": "en-self-commutator-en-noun-0zv1ex4Z",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "bounded",
          "bounded"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "operator",
          "operator"
        ],
        [
          "adjoint",
          "adjoint"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Given a bounded linear operator B and its adjoint B*, the self-commutator is B*B - BB*."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "self-commutator"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "self",
        "3": "commutator"
      },
      "expansion": "self- + commutator",
      "name": "prefix"
    }
  ],
  "etymology_text": "From self- + commutator.",
  "forms": [
    {
      "form": "self-commutators",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "self-commutator (plural self-commutators)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms prefixed with self-",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "Given a bounded linear operator B and its adjoint B*, the self-commutator is B*B - BB*."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "bounded",
          "bounded"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "operator",
          "operator"
        ],
        [
          "adjoint",
          "adjoint"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Given a bounded linear operator B and its adjoint B*, the self-commutator is B*B - BB*."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "self-commutator"
}

Download raw JSONL data for self-commutator meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-03 from the enwiktionary dump dated 2025-01-01 using wiktextract (eaedd02 and 8fbd9e8). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.